Use the given root to find the solution set of the polynomial.
Polynomial: x^4 - 4x^3 + 2x^2 - 4x + 1 = 0
Given root: i
How do I solve this problem?
If one of the roots is i, then one of the roots is also -i.
(x - i) and (x + i) are factors.
Their product is
Use polynomial long division on your original function to find the depressed quadratic.
I think you'll discover it's
Now, use the quadratic formula to discover the last two roots.